Question 3

A life insurance agent found the following data for distribution of ages of 100 policy holders.
Calculate the median age, if policies are given only to persons having age $18$ years onwards but less than $60$ years.

$$\begin{array}{|c|c|}

\hline
\text{Age (in years)} & \text{Number of policy holders (cumulative)}\\
\hline
\text{Below }20 & 2\\
\hline
\text{Below }25 & 6\\
\hline
\text{Below }30 & 24\\
\hline
\text{Below }35 & 45\\
\hline
\text{Below }40 & 78\\
\hline
\text{Below }45 & 89\\
\hline
\text{Below }50 & 92\\
\hline
\text{Below }55 & 98\\
\hline
\text{Below }60 & 100\\
\hline
\end{array}$$